Search a number
-
+
401291008 = 282775659
BaseRepresentation
bin10111111010110…
…011011100000000
31000222002200202221
4113322303130000
51310212303013
6103453020424
712641626426
oct2772633400
91028080687
10401291008
11196577968
12b2484714
13651a4101
143b41d116
152536b08d
hex17eb3700

401291008 has 36 divisors (see below), whose sum is σ = 804048280. Its totient is φ = 199885824.

The previous prime is 401291003. The next prime is 401291017. The reversal of 401291008 is 800192104.

It is a happy number.

It is a super-2 number, since 2×4012910082 = 322068946203312128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401291003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68083 + ... + 73741.

Almost surely, 2401291008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402024140).

401291008 is an abundant number, since it is smaller than the sum of its proper divisors (402757272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401291008 is an equidigital number, since it uses as much as digits as its factorization.

401291008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 401291008 is about 20032.2491997279. The cubic root of 401291008 is about 737.5981341405.

The spelling of 401291008 in words is "four hundred one million, two hundred ninety-one thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 277 554 1108 2216 4432 5659 8864 11318 17728 22636 35456 45272 70912 90544 181088 362176 724352 1448704 1567543 3135086 6270172 12540344 25080688 50161376 100322752 200645504 401291008